This lesson is an introduction to three-dimensional geometry for a Multivariable Calculus class. There are plenty of exercises and visuals to help students get a grasp on three-dimensional space. Also, the three-dimensional distance formula is derived and applications of it are explored.
This lesson is meant as an introduction to Multivariable Calculus, but it could be used in Geometry as part of a unit on three-dimensional geometry. No calculus is introduced in this lesson. Another option is to use it after AP Calculus exams have finished.
Detailed answer keys are included.
The topics covered include:
-Features of 3-Space
-Projections of Points
-Distance Formula in Three Dimensions
-Calculating Distances in Three Dimensions
-Collinearity in Three Dimensions
-Triangles in Three Dimensions
In this product, you will find the following:
-Powerpoint Presentation (25 slides)
-Guided Notes (4 pages, a "filled in" copy is also included)
-Do Now Slips (4 slips on one page, answers included)
-Exit Ticket Slips (4 slips on one page, answers included)
-Homework Assignment (2 pages, a detailed answer key is included)
This lesson is part of a larger unit on The Geometry of Space. The complete unit includes the following:
-Working in Three Dimensions
-Spheres and Cylindrical Surfaces
-Lines and Planes
-Quadric Surfaces (coming soon!)
-Cylindrical Coordinates (coming soon!)
-Spherical Coordinates (coming soon!)